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Finding the Fourth Proportional to 54,649.20, 81,973.80 and 32,530.80

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Solution

The fourth proportional to 54,649.20, 81,973.80 and 32,530.80 is: 48,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,649.20 : 81,973.80 = 32,530.80 : x
  2. Step 2: Convert to fraction form
    54,649.20/81,973.80 = 32,530.80/x
  3. Step 3: Cross multiply
    54,649.20x = 81,973.80 × 32,530.80
  4. Step 4: Simplify right side
    54,649.20x = 2,666,673,293.04
  5. Step 5: Solve for x
    x = 2,666,673,293.04/54,649.20
  6. Step 6: Final answer
    x = 48,796.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.